Are there any artificial neuromorphic systems which can mimic the brain?
Vernor Vinge said that if we can scan a human brain and then simulate it: We can run it at 1000 times the speed. The brain will be able to do 1000 years of thinking in 1 year ect. 

At this stage in history we have the computer power.

The trouble lies in cutting a brain up and scanning the 100 billion neurons and 12 million kilometres of axons and 100000 billion synapses.
And piecing together the connectome from all the data.

Sebastian Seung at MIT is working on automating this scanning process with machine learning. By gathering training data from thousands of people playing his Eyewire game

Henry Markram in Europe tried to do something similar with his Blue Brain Project.
He attempted to simulate the neocortical column of a rat. The EU gave him a billion euros to do this. Unfortunately he has been heavily criticised by the Neuroscience community. They claim that we don't know the physiology  well enough to make a valid simulation.

Check out his Ted Talk.

In the 1970s Sydney Brenner achieved a full brain scan of a C Elegans worm. This worm has one of the simplest biological neural networks having only 302 neurons.
Here is a picture of its connectome:


An accurate computer simulation of this worm would be a major stepping stone to uploading a human brain.